Solve the equation. Write the solution set with the exact values given in terms of natural or common
logarithms. Also give approximate solutions to 4 decimal places, if necessary.
-$4 ^ { t } = 77$; use natural logarithms
A) $\left\{ \frac { \ln 77 } { \ln 4 } \right\} ; t = 3.1334$
B) $\left\{ \frac { \ln 4 } { \ln 77 } \right\} ; t = 0.3191$
C) $\left\{ \frac { \ln 4 } { \ln 77 } \right\} ; t = - 2.9575$
D) $\left\{ \frac { \ln 77 } { \ln 4 } \right\} ; t = 2.9575$

Question

Quizplus · Accepted Answer

Taking the natural logarithm of both sides of the equation $4^t = 77$ gives $t \ln(4) = \ln(77)$, which leads to $t = \frac{\ln(77)}{\ln(4)}$. Calculating this value gives approximately $t = 3.1334$.

Solve the Equation 4t=774 ^ { t } = 774t=77 ; Use Natural Logarithms A)

Solve the Equation $4 ^ { t } = 77$ ; Use Natural Logarithms
A)